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Finding the Fourth Proportional to 554,355.80, 830,367.30 and 461,043.80

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Solution

The fourth proportional to 554,355.80, 830,367.30 and 461,043.80 is: 690,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,355.80 : 830,367.30 = 461,043.80 : x
  2. Step 2: Convert to fraction form
    554,355.80/830,367.30 = 461,043.80/x
  3. Step 3: Cross multiply
    554,355.80x = 830,367.30 × 461,043.80
  4. Step 4: Simplify right side
    554,355.80x = 382,835,695,387.74
  5. Step 5: Solve for x
    x = 382,835,695,387.74/554,355.80
  6. Step 6: Final answer
    x = 690,595.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.